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2 years ago

Can yoy help me solve this 8(x-3)+14=2(4x+5)

Mathematics

2 answers:

iris [78.8K]2 years ago

8 0

This equation has no solution

Leviafan [203]2 years ago

6 0

just looked back on it. actually no solution

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Explain the steps to finding the vertex of g(x) = 3x2 + 12x + 15

RUDIKE [14]

Answer:

The vertex of this parabola, $(-2, 3)$ , can be found by completing the square.

Step-by-step explanation:

The goal is to express this parabola in its vertex form:

$g(x) = a\, (x - h)^2 + k$ ,

where $a$ , $h$ , and $k$ are constants. Once these three constants were found, it can be concluded that the vertex of this parabola is at $(h,\, k)$ .

The vertex form can be expanded to obtain:

$\begin{aligned}g(x)&= a\, (x - h)^2 + k \\ &= a\, \left(x^2 - 2\, x\, h + h^2\right) + k = a\, x^2 - 2\, a\, h\, x + \left(a\,h^2 + k\right)\end{aligned}$ .

Compare that expression with the given equation of this parabola. The constant term, the coefficient for $x$ , and the coefficient for $x^2$ should all match accordingly. That is:

$\left\lbrace\begin{aligned}& a = 3 \\ & -2\,a\, h = 12 \\& a\, h^2 + k = 15\end{aligned}\right.$ .

The first equation implies that $a$ is equal to $3$ . Hence, replace the " $a\!$ " in the second equation with $3\!$ to eliminate $\! a$ :

$(-2\times 3)\, h = 12$ .

$h = -2$ .

Similarly, replace the " $a$ " and the " $h$ " in the third equation with $3$ and $(-2)$ , respectively:

$3 \times (-2)^2 + k = 15$ .

$k = 3$ .

Therefore, $g(x) = 3\, x^2 + 12\, x + 15$ would be equivalent to $g(x) = 3\, (x - (-2))^2 + 3$ . The vertex of this parabola would thus be:

$\begin{aligned}&(-2, \, 3)\\ &\phantom{(}\uparrow \phantom{,\,} \uparrow \phantom{)} \\ &\phantom{(}\; h \phantom{,\,} \;\;k\end{aligned}$ .

8 0

3 years ago

What is the 10th term in the pattern with the formula 5n + 100?

yanalaym [24]

Easy
first term is n=1
so 10th term is n=10

5(10)+100=50+100=150

150 is 10th term

5 0

3 years ago

Joseph needed $125 to buy a new pair of jordan's. His neighbor will pay him $6 per hour to walk his dog and his mother gave him

AveGali [126]

Answer: 14⅝ hiurs

Step-by-step explanation:

Based on the information given in the question, we can form an equation which will be:

8 + 6h = 125

where, h = number of hours

6h = 125 - 8

6h = 117

h = 117/8

h = 14 ⅝hours

Therefore, minimum amount of hours he will need to walk the dog in order for him to buy a new pair of Jordans is 14⅝ hours.

4 0

3 years ago

Translation of a 2D shape..<br> Due in tomorrow, please help! Xx

bazaltina [42]

(5,7) (5,4) (7,4) hope that helps

4 0

3 years ago

Drag and drop the constant of proportionality into the box to match the table. If the table is not proportional, drag and drop "

Nikitich [7]

The table is proportional and the constant of proportionality is 1.5

Step-by-step explanation:

Proportional relationships are relationships between two variables

where their ratios are equivalent

One variable is always a constant value times the other
The relation between the two variables represented graphically by a line passes through the origin point

The table:

→ x : 0 : 2 : 4 : 6

→ y : 0 : 3 : 6 : 9

To prove that y ∝ x find the ratio between each value of y with corresponding value of x

∵ $\frac{3}{2}=1.5$